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Finding the Fourth Proportional to 12,458.48, 18,661.80 and 9,124.40

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Solution

The fourth proportional to 12,458.48, 18,661.80 and 9,124.40 is: 13,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.48 : 18,661.80 = 9,124.40 : x
  2. Step 2: Convert to fraction form
    12,458.48/18,661.80 = 9,124.40/x
  3. Step 3: Cross multiply
    12,458.48x = 18,661.80 × 9,124.40
  4. Step 4: Simplify right side
    12,458.48x = 170,277,727.92
  5. Step 5: Solve for x
    x = 170,277,727.92/12,458.48
  6. Step 6: Final answer
    x = 13,667.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.